The average response time for http requests at a web server is 2.5 seconds. The system idle time was measured to be 12 seconds during a one minute observation interval. Use an M/M/1 model for the system to determine the following (a)  system utilization (b)  average service time per transaction (c)  probability that the number of jobs in the system exceeds 10

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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  1. The average response time for http requests at a web server is 2.5 seconds. The system idle time was measured to be 12 seconds during a one minute observation interval. Use an M/M/1 model for the system to determine the following

    1. (a)  system utilization

    2. (b)  average service time per transaction

    3. (c)  probability that the number of jobs in the system exceeds 10

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